Hausdorff dimensions for SLE6

• 成果类型: Article
• 署名作者: Beffara, V
• 署名单位: Universite Paris Saclay
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117904000000072
• 发表日期: 2004
• 页码: 2606-2629
• 关键词: brownian intersection exponents; VALUES; plane

摘要

We prove that the Hausdorff dimension of the trace of SLE6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler-Schramm-Werner) that the dimension of its boundary is 4/3. We also prove that, for all kappa < 8, the SLEkappa trace has cut-points.